{"id":364,"date":"2023-07-04T16:06:25","date_gmt":"2023-07-04T16:06:25","guid":{"rendered":"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/"},"modified":"2023-07-04T16:06:25","modified_gmt":"2023-07-04T16:06:25","slug":"teget-fonksiyonu","status":"publish","type":"post","link":"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/","title":{"rendered":"Te\u011fet i\u015flevi"},"content":{"rendered":"<p>Bu sayfada te\u011fet fonksiyonu hakk\u0131nda her \u015feyi bulacaks\u0131n\u0131z: nedir, form\u00fcl\u00fc nedir, grafikte nas\u0131l g\u00f6sterilir, fonksiyonun \u00f6zellikleri, periyodu vb. Ek olarak, kavram\u0131 tam olarak anlamak i\u00e7in te\u011fet fonksiyon \u00f6rneklerini g\u00f6rebileceksiniz. Hatta te\u011fet teoremini ve te\u011fet fonksiyonunun di\u011fer trigonometrik ili\u015fkilerle olan ili\u015fkilerini bile a\u00e7\u0131kl\u0131yor. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-funcion-tangente\"><\/span> Te\u011fet fonksiyon form\u00fcl\u00fc <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> Bir \u03b1 a\u00e7\u0131s\u0131n\u0131n <strong>te\u011fet fonksiyonu<\/strong> , form\u00fcl\u00fc bir dik \u00fc\u00e7genin (dik a\u00e7\u0131l\u0131 \u00fc\u00e7gen) kar\u015f\u0131 dal ile biti\u015fik (veya biti\u015fik) dal\u0131 aras\u0131ndaki oran olarak tan\u0131mlanan trigonometrik bir fonksiyondur. <\/p>\n<\/div>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-153\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-fonction-tangente.webp\" alt=\"Te\u011fet fonksiyonunun form\u00fcl\u00fc nedir?\" class=\"wp-image-299\" width=\"291\" height=\"71\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonctions-trigonometriques.webp\" alt=\"tanjant trigonometrik bir fonksiyondur\" class=\"wp-image-277\" width=\"233\" height=\"159\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<p> Bu t\u00fcr matematiksel fonksiyona ayn\u0131 zamanda te\u011fetsel, tangenoid veya te\u011fetsel fonksiyon da denir. Ve \u201ctg\u201d, hatta \u201ctan\u201d k\u0131saltmas\u0131yla da ifade edilebilir.<\/p>\n<p> Te\u011fet fonksiyonu, bir a\u00e7\u0131n\u0131n sin\u00fcs\u00fc ve kosin\u00fcs\u00fcyle birlikte en iyi bilinen \u00fc\u00e7 trigonometrik orandan biridir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"valores-caracteristicos-de-la-funcion-tangente\"><\/span> Te\u011fet fonksiyonunun karakteristik de\u011ferleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> S\u0131k s\u0131k tekrarlanan belirli a\u00e7\u0131lar vard\u0131r ve bu nedenle bu a\u00e7\u0131lardaki te\u011fet fonksiyonunun de\u011ferini bilmek uygundur: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/valeurs-caracteristiques-fonction-tangente.webp\" alt=\"te\u011fet fonksiyonunun karakteristik de\u011ferleri\" class=\"wp-image-300\" width=\"740\" height=\"195\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u00d6te yandan, te\u011fet fonksiyonu sin\u00fcs ve kosin\u00fcs fonksiyonlar\u0131na a\u015fa\u011f\u0131daki temel trigonometrik \u00f6zde\u015flik ile ba\u011flanabilir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-97ecd1e5d04b9e0aa9aab914a5ef9fe4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tg } \\alpha = \\cfrac{\\text{sen }\\alpha}{\\text{cos }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"102\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla te\u011fet fonksiyonunun i\u015fareti, a\u00e7\u0131n\u0131n bulundu\u011fu \u00e7eyre\u011fe ba\u011fl\u0131d\u0131r:<\/p>\n<ul>\n<li> A\u00e7\u0131 ilk \u00e7eyre\u011fe aitse tanjant\u0131 pozitif olacakt\u0131r \u00e7\u00fcnk\u00fc bu \u00e7eyrekte sin\u00fcs ve kosin\u00fcs de pozitiftir.<\/li>\n<li> A\u00e7\u0131 ikinci \u00e7eyre\u011fe d\u00fc\u015ferse tanjant\u0131 negatif olacakt\u0131r \u00e7\u00fcnk\u00fc bu \u00e7eyrekte sin\u00fcs pozitif, kosin\u00fcs negatiftir.<\/li>\n<li> A\u00e7\u0131 \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrekte ise tanjant\u0131 pozitif olacakt\u0131r \u00e7\u00fcnk\u00fc bu \u00e7eyrekte sin\u00fcs ve kosin\u00fcs negatiftir.<\/li>\n<li> A\u00e7\u0131 d\u00f6rd\u00fcnc\u00fc \u00e7eyrekteyse tanjant\u0131 negatif olacakt\u0131r, \u00e7\u00fcnk\u00fc bu \u00e7eyrekte sin\u00fcs negatif, bunun yerine kosin\u00fcs pozitiftir. <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-signe-de-la-tangente.webp\" alt=\"te\u011fet fonksiyonunun i\u015fareti\" class=\"wp-image-301\" width=\"305\" height=\"295\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-de-la-funcion-tangente\"><\/span> Te\u011fet fonksiyonunun grafiksel g\u00f6sterimi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00d6nceki b\u00f6l\u00fcmde g\u00f6rd\u00fc\u011f\u00fcm\u00fcz de\u011ferler tablosuyla te\u011fet fonksiyonunun grafi\u011fini \u00e7izebiliriz. Te\u011fet fonksiyonunun grafi\u011fini \u00e7izerek \u015funu elde ederiz: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-graphique-fonction-tangente.webp\" alt=\"te\u011fet fonksiyonunun grafiksel g\u00f6sterimi\" class=\"wp-image-298\" width=\"779\" height=\"451\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Grafikten de g\u00f6rebilece\u011finiz gibi te\u011fet fonksiyonunun g\u00f6r\u00fcnt\u00fclerinin de\u011ferleri sin\u00fcs ve kosin\u00fcs fonksiyonlar\u0131ndan farkl\u0131 olarak s\u0131n\u0131rl\u0131 de\u011fildir. Ayr\u0131ca de\u011ferler her 180 derecede (\u03c0 radyan) tekrarlan\u0131r, dolay\u0131s\u0131yla periyodu 180\u00b0 olan <strong>periyodik bir fonksiyondur<\/strong> .<\/p>\n<p> \u00d6te yandan bu grafikte te\u011fet fonksiyonunun <strong>tek<\/strong> oldu\u011funu g\u00f6r\u00fcyoruz \u00e7\u00fcnk\u00fc kar\u015f\u0131t elemanlar\u0131 z\u0131t g\u00f6r\u00fcnt\u00fclere sahip, yani orijine g\u00f6re simetrik (0,0). \u00d6rne\u011fin 45\u00b0&#8217;nin tanjant\u0131 1, -45\u00b0&#8217;nin tanjant\u0131 -1 de\u011ferindedir.<\/p>\n<p> Son olarak, te\u011fet fonksiyonunun <strong>dikey asimptotlara<\/strong> sahip oldu\u011funu da g\u00f6rebiliriz. Mesela x=90\u00b0 \u00e7izgisine \u00e7ok yakla\u015f\u0131yor ama hi\u00e7 dokunmuyor ve her 180 derecede bir ayn\u0131 \u015fey oluyor. Bu, fonksiyonun bu noktalardaki limitinin sonsuza do\u011fru gitti\u011fi anlam\u0131na gelir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-tangente\"><\/span> Te\u011fet fonksiyonunun \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Te\u011fet fonksiyonu a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/p>\n<ul>\n<li> Te\u011fet fonksiyonunun alan\u0131, dikey asimptotun oldu\u011fu noktalar d\u0131\u015f\u0131ndaki t\u00fcm ger\u00e7ek say\u0131lard\u0131r:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-29b8cf7eff7870df6c68bac95de5bdaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Dom } f = \\mathbb{R} - \\left\\{(2k+1)\\cdot \\frac{\\pi}{2} \\right\\} \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"308\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e82581257a3efb00f920674c5318bc85_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Dom } f = \\mathbb{R} - \\left\\{\\ldots \\ , \\ -\\frac{\\pi}{2} \\ , \\ \\frac{\\pi}{2} \\ , \\ \\frac{3\\pi}{2} \\ , \\ \\ldots \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"326\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> Te\u011fet fonksiyonunun aral\u0131\u011f\u0131 veya aral\u0131\u011f\u0131n\u0131n t\u00fcm\u00fc ger\u00e7ek say\u0131lard\u0131r.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a954b5c192478c3b7b14428ac8d5cbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"74\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> Periyodikli\u011fi \u03c0 olan s\u00fcrekli ve tek bir fonksiyondur.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4338f2dfc213a0dbac8aba420dd33179_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(-x) =- \\text{tg }x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"123\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Bu tip trigonometrik fonksiyonun y ekseni (Y ekseni) ile (0,0) noktas\u0131nda tek bir kesi\u015fme noktas\u0131 vard\u0131r.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9cf2000c782cfe94be6df5f499cd3e24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Bunun yerine periyodik olarak apsisi (X ekseni) pi&#8217;nin \u00e7e\u015fitli koordinatlar\u0131nda keser.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eab7b9b3afd7706a5a1aea4aca69413c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (k\\pi ,0) \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"129\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Fonksiyon t\u00fcm tan\u0131m k\u00fcmesinde kesinlikle artmaktad\u0131r, dolay\u0131s\u0131yla ne maksimumu ne de minimumu vard\u0131r.<\/li>\n<\/ul>\n<ul>\n<li> Te\u011fetin t\u00fcrevi:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad6c6fdefd907c51ac1e7b85e59260e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tg } x \\ \\longrightarrow \\ f'(x)= 1+\\text{tg}^2 x=\\cfrac{1}{\\text{cos}^2 x} =\\text{sec}^2 x\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"398\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Son olarak te\u011fet fonksiyonunun integrali: <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8c7736fa3869dbff86797b1ff879cc43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int \\text{tg } x \\ dx= -\\ln \\lvert \\text{cos }x \\rvert + C\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"218\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"periodo-de-la-funcion-tangente\"><\/span> Te\u011fet fonksiyonunun periyodu<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Sin\u00fcs ve kosin\u00fcs gibi di\u011fer trigonometrik fonksiyonlardan farkl\u0131 olarak tanjant fonksiyonunun b\u00fcy\u00fckl\u00fc\u011f\u00fc yoktur \u00e7\u00fcnk\u00fc ne maksimum ne de minimum de\u011feri vard\u0131r. Ancak periyodik bir fonksiyondur yani de\u011ferleri grafi\u011finde g\u00f6rd\u00fc\u011f\u00fcm\u00fcz gibi bir frekansla tekrar etmektedir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e5e2cc1f194f1a7fee12fa1156ad3fa6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\text{tg}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"110\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Te\u011fet fonksiyonunun <strong>periyodu<\/strong> , grafi\u011fin tekrarland\u0131\u011f\u0131 iki nokta aras\u0131ndaki mesafedir ve a\u015fa\u011f\u0131daki form\u00fclle hesaplan\u0131r: <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3018883cc7bcf87eaf5d39ca88d719c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Periodo}=T=\\cfrac{\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"135\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"teorema-de-la-tangente\"><\/span> te\u011fet teoremi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Te\u011fet form\u00fcl\u00fc normalde dik \u00fc\u00e7genlerde kullan\u0131lsa da, her t\u00fcr \u00fc\u00e7gene uygulanacak bir teorem de vard\u0131r: te\u011fet teoremi.<\/p>\n<p> <strong>Te\u011fet teoremi<\/strong> herhangi bir \u00fc\u00e7genin kenarlar\u0131n\u0131 ve a\u00e7\u0131lar\u0131n\u0131 \u015fu \u015fekilde ili\u015fkilendirir: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/theoreme-des-sinus-ou-des-sinus.webp\" alt=\"\" class=\"wp-image-281\" width=\"188\" height=\"136\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-261e505be252193e417e40524dc7fec7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{a+b}{a-b} = \\cfrac{ \\text{tg}\\left(\\frac{\\alpha+\\beta}{2}\\right)}{\\text{tg}\\left(\\frac{\\alpha-\\beta}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"136\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e330dd1d596b748ac4f24b84a0a41e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{a+c}{a-c} = \\cfrac{ \\text{tg}\\left(\\frac{\\alpha+\\gamma \\vphantom{\\beta}}{2}\\right)}{\\text{tg}\\left(\\frac{\\alpha-\\gamma\\vphantom{\\beta}}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"136\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-267dc10c3b0e77cd0d01c8f1194c48e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{b+c}{b-c} = \\cfrac{ \\text{tg}\\left(\\frac{\\beta+\\gamma}{2}\\right)}{\\text{tg}\\left(\\frac{\\beta-\\gamma}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"133\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"relaciones-de-la-funcion-tangente-con-otras-razones-trigonometricas\"><\/span> Te\u011fet fonksiyonunun di\u011fer trigonometrik oranlarla ili\u015fkileri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u015fa\u011f\u0131da tanjant ile trigonometrinin en \u00f6nemli trigonometrik oranlar\u0131 aras\u0131ndaki ili\u015fkiler bulunmaktad\u0131r.<\/p>\n<h3 class=\"wp-block-heading\"> Meme ile ili\u015fki<\/h3>\n<ul>\n<li> Bir a\u00e7\u0131n\u0131n tanjant\u0131 ve sin\u00fcs\u00fc a\u015fa\u011f\u0131daki \u015fekilde ili\u015fkilidir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7a86df77c498819d8ea98595aeae1e78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{\\text{sen }\\alpha }{\\sqrt{1-\\text{sen}^2\\alpha \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"165\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Kosin\u00fcs oran\u0131<\/h3>\n<ul>\n<li> Benzer \u015fekilde bir a\u00e7\u0131n\u0131n tanjant\u0131 ve kosin\u00fcs\u00fc a\u015fa\u011f\u0131daki e\u015fitlikle ili\u015fkilidir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4cd911a6fe6c9f7a24fc1da0f14253cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{\\sqrt{1-\\text{cos}^2\\alpha \\vphantom{\\bigl( }} }{\\text{cos }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"51\" width=\"164\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Kosekant ile ili\u015fki<\/h3>\n<ul>\n<li> Kan\u0131tlanmas\u0131 zor olsa da te\u011fet, yaln\u0131zca kosekant\u0131na ba\u011fl\u0131 olacak \u015fekilde \u00e7\u00f6z\u00fclebilir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d5565a2114d02ca91e1f40c48a768e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{1}{\\sqrt{\\text{csc}^2\\alpha -1 \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"163\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Sekant ile ili\u015fki<\/h3>\n<ul>\n<li> Bir a\u00e7\u0131n\u0131n tanjant\u0131 ve sekant\u0131 a\u015fa\u011f\u0131daki denklemle ili\u015fkilidir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da24bf5121188e8b3822a780b7ceeda4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha =  \\pm\\sqrt{\\text{sec}^2\\alpha -1\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"161\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Kotanjant ile ili\u015fki<\/h3>\n<ul>\n<li> Te\u011fet ve kotanjant \u00e7arp\u0131msal terslerdir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19dad2de61693ec3497a367b9ca36871_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha =\\pm \\cfrac{1}{\\text{cot }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"113\" style=\"vertical-align: -12px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu sayfada te\u011fet fonksiyonu hakk\u0131nda her \u015feyi bulacaks\u0131n\u0131z: nedir, form\u00fcl\u00fc nedir, grafikte nas\u0131l g\u00f6sterilir, fonksiyonun \u00f6zellikleri, periyodu vb. Ek olarak, kavram\u0131 tam olarak anlamak i\u00e7in te\u011fet fonksiyon \u00f6rneklerini g\u00f6rebileceksiniz. Hatta te\u011fet teoremini ve te\u011fet fonksiyonunun di\u011fer trigonometrik ili\u015fkilerle olan ili\u015fkilerini bile a\u00e7\u0131kl\u0131yor. Te\u011fet fonksiyon form\u00fcl\u00fc Bir \u03b1 a\u00e7\u0131s\u0131n\u0131n te\u011fet fonksiyonu , form\u00fcl\u00fc bir dik \u00fc\u00e7genin &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/\"> <span class=\"screen-reader-text\">Te\u011fet i\u015flevi<\/span> Devam\u0131 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-364","post","type-post","status-publish","format-standard","hentry","category-fonksiyon-gosterimi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Te\u011fet fonksiyonu - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Te\u011fet fonksiyonu - Mathority\" \/>\n<meta property=\"og:description\" content=\"Bu sayfada te\u011fet fonksiyonu hakk\u0131nda her \u015feyi bulacaks\u0131n\u0131z: nedir, form\u00fcl\u00fc nedir, grafikte nas\u0131l g\u00f6sterilir, fonksiyonun \u00f6zellikleri, periyodu vb. Ek olarak, kavram\u0131 tam olarak anlamak i\u00e7in te\u011fet fonksiyon \u00f6rneklerini g\u00f6rebileceksiniz. Hatta te\u011fet teoremini ve te\u011fet fonksiyonunun di\u011fer trigonometrik ili\u015fkilerle olan ili\u015fkilerini bile a\u00e7\u0131kl\u0131yor. Te\u011fet fonksiyon form\u00fcl\u00fc Bir \u03b1 a\u00e7\u0131s\u0131n\u0131n te\u011fet fonksiyonu , form\u00fcl\u00fc bir dik \u00fc\u00e7genin &hellip; Te\u011fet i\u015flevi Devam\u0131 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-04T16:06:25+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-fonction-tangente.webp\" \/>\n<meta name=\"author\" content=\"Mathority Ekibi\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority Ekibi\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/\"},\"author\":{\"name\":\"Mathority Ekibi\",\"@id\":\"https:\/\/mathority.org\/tr\/#\/schema\/person\/45cab21b13819e150f15eb50b4532960\"},\"headline\":\"Te\u011fet i\u015flevi\",\"datePublished\":\"2023-07-04T16:06:25+00:00\",\"dateModified\":\"2023-07-04T16:06:25+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/\"},\"wordCount\":793,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/tr\/#organization\"},\"articleSection\":[\"Fonksiyon g\u00f6sterimi\"],\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/\",\"url\":\"https:\/\/mathority.org\/tr\/teget-fonksiyonu\/\",\"name\":\"Te\u011fet fonksiyonu - 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Ek olarak, kavram\u0131 tam olarak anlamak i\u00e7in te\u011fet fonksiyon \u00f6rneklerini g\u00f6rebileceksiniz. Hatta te\u011fet teoremini ve te\u011fet fonksiyonunun di\u011fer trigonometrik ili\u015fkilerle olan ili\u015fkilerini bile a\u00e7\u0131kl\u0131yor. 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